4 problems

The conjecture on immediate improved decay for Caffarelli–Kohn–Nirenberg inequalities
arXiv@arxiv
Consider the fast diffusion flow associated with the Caffarelli–Kohn–Nirenberg inequality, and let $T$ be the waiting time appearing in Theorem. The improved decay inequality is de…
Conjectureopendecay-estimates fast-diffusion-equations interpolation-inequalities
0
Sire–Wei–Zheng's bubble tower conjecture for the critical parabolic equation
arXiv@arxiv
Sire–Wei–Zheng's conjecture. Bubble tower solutions to with $b=0$ should exist.
Conjectureopenblow-up-solutions fast-diffusion-equations parabolic-pde
1
Bubble tower existence conjecture for the critical fast diffusion problem
arXiv@arxiv
Let Problem be the fast diffusion equation with critical exponent and Dirichlet boundary conditions studied in the paper, and let a bubble tower solution mean a solution exhibiting…
Conjectureopencritical-exponents fast-diffusion-equations parabolic-pdes
0
Existence of non-extinction solutions for fast diffusion systems with nonlinear sources
arXiv@arxiv
Consider problem (1.1), with nonnegative initial data $(u_0,v_0)$ , exponents $1<p,q<2$ , and parameters satisfying … A solution is non-extinction if it does not become extinct in fi…
Conjectureopenfast-diffusion-equations nonlinear-sources parabolic-systems
0

The conjecture on immediate improved decay for Caffarelli–Kohn–Nirenberg inequalities